Question

Find the interior angle for an N sided polygon.
Also find the sum of all interior angle of the polygon.

Answer 1

@hartnn

Answer 2

https://www.mathsisfun.com/geometry/regular-polygons.html

Answer 3

But how do I apply it?

Answer 4

@mayankdevnani

Answer 5

acha chal octagon ke liye dekhte h,okay ?

Answer 6

muhje bas ye q karna h "polygon" is not enuf info octa hi lelete hain

Answer 7

exterior angle nikalne ka simple tarika h
\[\large \bf \frac{180}{n}\]

Answer 8

where, n=number of sides of polygon

Answer 9

theek h ?

Answer 10

haan

Answer 11

@mayankdevnani

Answer 12

interior angle ke liye :-
\[\large \bf 180-n\]

Answer 13

too sum kaise nikale?

Answer 14

formula hota h

\[\large \bf 180(n-2)\]

Answer 15

hume "n" hi ni malum ;-;

Answer 16

@Ashleyisakitty
@johnweldon1993
@sleepyjess
@Kainui

Answer 17

here is an interesting property of any polygon. The sum of its exterior angles is 360 always.

so if a regular polygon has 'n' sides,
each exterior angles measures 360/n

ok?

Answer 18

Got that!

Answer 19

now,
interior angle + exterior angle = 180

so we have
interior angle = 180 - exterior angle

or
interior angle=180- (360/n)

ok?

Answer 20

Okay.

Answer 21

this is the answer for each interior angle
interior angle=180- (360/n)

a polygon with 'n' sides has 'n' interior angles,

so
sum of interior angles = interior angle \(\times\) n
=180n-360

Answer 22

n cancels out?

Answer 23

No,wait.
You took the LCM and then multiplied it with n?

Answer 24

\[\frac{ 180n*360 }{ n }*n\]

Answer 25

yep

Answer 26

180n - 360??

Answer 27

yes, 180n-360 is the sum of interior angles

Answer 28

and each interior angle is 180n-360 all over n?

Answer 29

yep

Answer 30

That's it?

Answer 31

thats it

Answer 32

Can you help me with a few more question?
And thanks.

Answer 33

yea sure